Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[1. None]
[2. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.]
[3. CVM PRIVILEGIO IN ANNOS X. BONONIAE,]
[4. M D LXV.]
[5. RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[6. Federicus Commandinus.]
[7. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.]
[8. PROPOSITIO I.]
[9. PROPOSITIO II.]
[10. PROPOSITIO III.]
[11. PROPOSITIO IIII.]
[12. PROPOSITIO V.]
[13. PROPOSITIO VI.]
[14. PROPOSITIO VII.]
[15. POSITIO II.]
[16. COMMENTARIVS.]
[17. PROPOSITIO VIII.]
[18. COMMENTARIVS.]
[19. PROPOSITIO IX.]
[20. COMMENTARIVS.]
[21. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.]
[22. PROPOSITIO II.]
[23. COMMENTARIVS.]
[24. PROPOSITIO III.]
[25. PROPOSITIO IIII.]
[26. COMMENTARIVS.]
[27. PROPOSITIO V.]
[28. COMMENTARIVS.]
[29. PROPOSITIO VI.]
[30. COMMENTARIVS.]
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ARCHIMEDIS
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        <div type="section" level="1" n="53">
          <p>
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              <pb file="0090" n="90" rhead="ARCHIMEDIS"/>
            _Quoniam igi_-
              <lb/>
              <anchor type="figure" xlink:label="fig-0090-01a" xlink:href="fig-0090-01"/>
            _tur portio con_-
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            _uertitur, ita ut_
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            _baſis humidum_
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            _non contingat_,
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            _axis cum ſuper_
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            _ficie eius faciet_
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            _angulum maio_-
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            _rem angulo g;_
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            </s>
            <s xml:space="preserve">_hoc est angulo_
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            _y: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propter_-
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            _ea multo maio_-
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            _rem angulo χ_.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="12">
            <note position="right" xlink:label="note-0089-04" xlink:href="note-0089-04a" xml:space="preserve">N</note>
            <note position="right" xlink:label="note-0089-05" xlink:href="note-0089-05a" xml:space="preserve">29. primi</note>
            <note position="right" xlink:label="note-0089-06" xlink:href="note-0089-06a" xml:space="preserve">16. primi</note>
            <figure xlink:label="fig-0090-01" xlink:href="fig-0090-01a">
              <image file="0090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0090-01"/>
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        </div>
        <div type="section" level="1" n="54">
          <head xml:space="preserve">DEMONSTRATIO TERTIAE PARTIS.</head>
          <p>
            <s xml:space="preserve">HABEAT deinde portio ad humidum eam in graui-
              <lb/>
            tate proportionem, quam quadratũ x o habet ad quadra-
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            tum b d: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in humidum demittatur adeo inclinata, ut ba-
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            ſis ipſius non con
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              <anchor type="figure" xlink:label="fig-0090-02a" xlink:href="fig-0090-02"/>
            tingat humidum.
              <lb/>
            </s>
            <s xml:space="preserve">Secta aũt ipſa per
              <lb/>
            axem plano ad hu
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            midi ſuperficiem
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            recto, ſolidi ſectio
              <lb/>
            ſit rectanguli co-
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            ni ſectio a p m l: </s>
            <s xml:space="preserve">ſu
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            perficiei humidi
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            ſectio ſit i m: </s>
            <s xml:space="preserve">axis
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            portionis, & </s>
            <s xml:space="preserve">ſe-
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            ctionis diameter
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            b d: </s>
            <s xml:space="preserve">ſeceturq; </s>
            <s xml:space="preserve">b d
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            ſicuti prius: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">du-
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            catur p n quidem</s>
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